Atlas883 of 3,942

I.B.12

m₃ = 2

From Li & Liao (2017)

I.B.12 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 38.779 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.658), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000223 of each other at a top speed of 109, line up 108 times a period, and the computed loop closes to 8.3×10⁻²⁵.

Measured over one period

Period: 38.77880800
Masses: 1 : 1 : 2
Energy: -4.03777
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 109.3
Path length: 119.40
Alignments per period: 108
Topology: ababababABABABAbabababABABABAbabababaBABABABabababaBABABAB (free-group class)
Stability: weakly unstable (|λ|max 2.658)
Loop closure: 8.3×10⁻²⁵

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.